{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "from TSP import TSP\n",
    "\n",
    "tsp_data = TSP(path=f'../../data/TSPLIB/att48.tsp.txt')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from ACO import AS\n",
    "\n",
    "optimizer = AS(tsp_data)\n",
    "optimizer.optimize(iteration=10)\n",
    "progress = optimizer.evolve_list  # get the optimal cost at each iteration\n",
    "# plot the result\n",
    "plt.clf()\n",
    "plt.figure(figsize=(10, 8))\n",
    "plt.subplot(1, 3, 1)\n",
    "plt.plot(range(len(progress)), progress, label='optimal cost')\n",
    "plt.legend()\n",
    "plt.title(f'optimal cost at iteration {len(progress) + 1}: {progress[-1]:.2f}')\n",
    "plt.subplot(1, 3, 2)\n",
    "tsp_data.draw(plt, route=optimizer.optima.tour, show_text=True)\n",
    "plt.title(f'optimal tour')\n",
    "plt.subplot(1, 3, 3)\n",
    "plt.imshow(optimizer.Pheromone)\n",
    "plt.colorbar()\n",
    "plt.title(f'pheromone matrix')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
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     "name": "#%%\n"
    }
   },
   "outputs": [],
   "source": []
  }
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